In a multiple regression model involving 44 observations, the following estimated regression equation was obtained. = 45+ 19x₁ + 63x₂ + 80x₃

For this model, SSR = 800 and SSE = 200.The multiple coefficient of determination for the above model is

Question

In a multiple regression model involving 44 observations, the following estimated regression equation was obtained.

= 45+ 19x₁ + 63x₂ + 80x₃

For this model, SSR = 800 and SSE = 200.The multiple coefficient of determination for the above model is

Quizplus · Accepted Answer

The formula for the multiple coefficient of determination is:

R squared = SSR / SST

where SST is the total sum of squares, which is equal to the sum of squared residuals (SSE) plus the sum of squared regression (SSR):

SST = SSE + SSR

Plugging in the given values, we get:

SST = SSE + SSR = 200 + 800 = 1000

R squared = SSR / SST = 800 / 1000 = 0.8

Therefore, the multiple coefficient of determination for the above model is 0.8 or 80%. The closest choice is B.

In a Multiple Regression Model Involving 44 Observations, the Following